function doGet(e) {
   return HtmlService
   .createTemplateFromFile('frontend')
   .evaluate()
   .setSandboxMode(HtmlService.SandboxMode.NATIVE)
 }

<tr>
     <td>Search name: </td>
     <td><input type="text" name="Name" /></td>
   </tr>
   <input type="submit" onclick="google.script.run.do_it(??????)">

<form id="myForm">

    <table>

    <tr><td>First Name</td><td><input type="textbox" size="100" name="first" required> </td></tr>
    <tr><td>Last Name</td><td><input type="textbox" size="100" name="last" required> </td></tr>
    </table>
    <br><br>
<input type="button" id="load" value="Start" onclick="inputForm(this.parentNode)"
          style="padding:5px;color: #fff; border-color: white;"/>

    </form>

inputForm(e){
Logger.log(e.first);
Logger.log(e.last);
}